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Decision trees are widely used for classification and regression tasks in a variety of application fields due to their interpretability and good accuracy. During the past decade, growing attention has been devoted to globally optimized…

Machine Learning · Computer Science 2025-01-28 Antonio Consolo , Edoardo Amaldi , Andrea Manno

Random Forest (RF) is a powerful ensemble method for classification and regression tasks. It consists of decision trees set. Although, a single tree is well interpretable for human, the ensemble of trees is a black-box model. The popular…

Machine Learning · Computer Science 2014-07-17 Piotr Płoński , Krzysztof Zaremba

Random forests are widely used in regression. However, the decision trees used as base learners are poor approximators of linear relationships. To address this limitation we propose RaFFLE (Random Forest Featuring Linear Extensions), a…

Machine Learning · Computer Science 2025-02-17 Jakob Raymaekers , Peter J. Rousseeuw , Thomas Servotte , Tim Verdonck , Ruicong Yao

Regression trees and their ensemble methods are popular methods for nonparametric regression: they combine strong predictive performance with interpretable estimators. To improve their utility for locally smooth response surfaces, we study…

Methodology · Statistics 2021-09-13 Sören R. Künzel , Theo F. Saarinen , Edward W. Liu , Jasjeet S. Sekhon

Natural environments pose significant challenges for autonomous robot navigation, particularly due to their unstructured and ever-changing nature. Hiking trails, with their dynamic conditions influenced by weather, vegetation, and human…

Robotics · Computer Science 2024-09-25 Camndon Reed , Christopher Tatsch , Jason N. Gross , Yu Gu

Motion prediction is crucial for autonomous vehicles to operate safely in complex traffic environments. Extracting effective spatiotemporal relationships among traffic elements is key to accurate forecasting. Inspired by the successful…

Computer Vision and Pattern Recognition · Computer Science 2023-12-20 Zhiqian Lan , Yuxuan Jiang , Yao Mu , Chen Chen , Shengbo Eben Li

High resolution geospatial data are challenging because standard geostatistical models based on Gaussian processes are known to not scale to large data sizes. While progress has been made towards methods that can be computed more…

Methodology · Statistics 2020-12-03 Michele Peruzzi , David B. Dunson

This paper presents a novel hierarchical motion planning approach based on Rapidly-Exploring Random Trees (RRT) for global planning and Model Predictive Control (MPC) for local planning. The approach targets a three-wheeled cycle rickshaw…

Robotics · Computer Science 2021-03-11 Damir Bojadžić , Julian Kunze , Dinko Osmanković , Mohammadhossein Malmir , Alois Knoll

The development of driverless vehicles has spurred the need to predict human driving behavior to facilitate interaction between driverless and human-driven vehicles. Predicting human driving movements can be challenging, and poor prediction…

Applications · Statistics 2025-09-16 Yaoyuan Vincent Tan , Carol A. C. Flannagan , Michael R. Elliott

Camera relocalization plays a vital role in many robotics and computer vision tasks, such as global localization, recovery from tracking failure, and loop closure detection. Recent random forests based methods directly predict 3D world…

Computer Vision and Pattern Recognition · Computer Science 2017-10-24 Lili Meng , Jianhui Chen , Frederick Tung , James J. Little , Julien Valentin , Clarence W. de Silva

Spatial regression is widely used for modeling the relationship between a dependent variable and explanatory covariates. Oftentimes, the linear relationships vary across space, when some covariates have location-specific effects on the…

Methodology · Statistics 2020-12-18 Xin Wang , Zhengyuan Zhu , Hao Helen Zhang

Building autonomous mobile robots (AMRs) with optimized efficiency and adaptive capabilities-able to respond to changing task demands and dynamic environments-is a strongly desired goal for advancing construction robotics. Such robots can…

Robotics · Computer Science 2025-09-16 Xiaoshan Zhou , Carol C. Menassa , Vineet R. Kamat

Bayesian additive regression trees (BART) is a flexible prediction model/machine learning approach that has gained widespread popularity in recent years. As BART becomes more mainstream, there is an increased need for a paper that walks…

Applications · Statistics 2025-09-18 Yaoyuan Vincent Tan , Jason Roy

Predictive models make mistakes. Hence, there is a need to quantify the uncertainty associated with their predictions. Conformal inference has emerged as a powerful tool to create statistically valid prediction regions around point…

Machine Learning · Statistics 2024-02-14 Luben M. C. Cabezas , Mateus P. Otto , Rafael Izbicki , Rafael B. Stern

Bayes additive regression trees(BART) is a nonparametric regression model which has gained wide-spread popularity in recent years due to its flexibility and high accuracy of estimation. Soft BART,one variation of BART,improves both…

Machine Learning · Statistics 2023-10-24 Hao Ran , Yang Bai

Recursive decision trees are widely used to estimate heterogeneous causal treatment effects in experimental and observational studies. These methods are typically implemented using CART-type recursive partitioning and are often viewed as…

Statistics Theory · Mathematics 2026-03-19 Matias D. Cattaneo , Jason M. Klusowski , Ruiqi Rae Yu

While seasonality inherent to raw macroeconomic data is commonly removed by seasonal adjustment techniques before it is used for structural inference, this may distort valuable information in the data. As an alternative method to commonly…

Econometrics · Economics 2025-08-12 Daniel Dzikowski , Carsten Jentsch

Motivated by the remarkable success of Bayesian additive regression trees (BART) in regression modelling, we propose a novel nonparametric Bayesian method, termed Functional BART (FBART), tailored specifically for function-on-scalar…

Methodology · Statistics 2025-06-03 Jiahao Cao , Shiyuan He , Bohai Zhang

Spatial interaction and spatial autocorrelation are two different fields of geo-spatial analysis, revealing the internal relationship between the two fields will help to develop the theory and method of geographical analysis. This paper is…

Physics and Society · Physics 2023-05-30 Yanguang Chen

Autocorrelation is a defining characteristic of time-series data, where each observation is statistically dependent on its predecessors. In the context of deep time-series forecasting, autocorrelation arises in both the input history and…